A Remark on the Nonequivalence of the Time-Zero $\phi_3^4$-Measure with the Free Field Measure

S. Albeverio, S. Liang

2008, v.14, №1, 159-164


By using the theory of representations of CCR, we show that the probability measures associated with the time zero $\phi_3^4$-quantum field model with interaction in a bounded region respectively the free field probability measure are not equivalent.

Keywords: quantum fields,$\phi_3^4$-model,singularity,Weyl system,representations of canonical commutation relations


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